Question

what should be added to the polynomial x2-5x+4 so that 3 is the zero of the polynomial
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Answer 1

Answer:

let 3 is the zero of the polynomial

so, x = 3

given P(x) = x2 - 5x + 4

p(3) = (3)2 - 5×3 + 4

p(3) = 9 - 15 + 4

p(3) = 13 - 15

p(3) = - 2

so if we add - 2 in the polynomial so, then 3 Will be the zero of the polynomial

Step-by-step explanation:

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Answer 2

Answer:

Let k be added to the polynomial.

Given Equation is p(x) = x^2 - 5x + (4 + k).

If 3 is the zero of the polynomial, then the equation will become p(3) = 0

p(3) = (3)^2 - 5(3) + (4 + k) = 0

        9 - 15 + 4 + k = 0

          - 6 + 4 + k = 0

             -2 + k = 0

                k = 2.

Therefore the number to be added to the polynomial is 2.

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